Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 16.4, Problem 4E
Program Plan Intro

To show that ( S , I ) is a matriod.

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Given: 1. ∀s1,s2 Subset(s1,s2) ⇔ [∀x Member(x,s1) ⇒ Member(x,s2)].Prove: H. ∀s1,s2,s3 [Subset(s1,s2) ∧ Subset(s2,s3)] ⇒ Subset(s1,s3).
Show that property (3) of a matroid implies: For any S ∈ I, {x} ∈ I, there exists y ∈ S, such that S \ {y} ∪ {x} ∈ I.
Let the Universal set be {a,b,c,d,e,f,g,h,i,j] Consider the subsets A = {a,d,h,i} B= {b,c,d.,f,i,j} C = {a,c,e,f,g,} What is (An B' )'?
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